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The answer is 194

Explanation:

A parallelogram is a tilted rectangle and possess all the features of rectangle except it's symetry

Opposite sides of a parallelogram are equal in length

So if One side is 48 then the opposite length the is also 48 and vice versa, Same for the 49 too

My calculations were 49+49+48+48=

OR

2(49)2(48)=

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

\(4x+7y=9\)              [subtract both sides by 4x]

\(7y=-4x+9\)           [divide both sides by 7]

\(y=-\frac{4}{7}x+\frac{9}{7}\)

Now, we know the slope is -4/7.

Answer:

0.5665 = 56.65% probability of less than four twos.

Step-by-step explanation:

For each roll, there are only two possible outcomes. Either it is a two, or it is not a two. The probability of a roll ending up in a two is independent of any other roll, which means that the binomial probability distribution is used.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

A die is rolled 20 times

This means that \(n = 20\)

One out of six sides is 2:

This means that \(p = \frac{1}{6} = 0.1667\)

Probability of less than four twos:

This is:

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{20,0}.(0.1667)^{0}.(0.8333)^{20} = 0.0261\)

\(P(X = 1) = C_{20,1}.(0.1667)^{1}.(0.8333)^{19} = 0.1043\)

\(P(X = 2) = C_{20,2}.(0.1667)^{2}.(0.8333)^{18} = 0.1982\)

\(P(X = 3) = C_{20,3}.(0.1667)^{3}.(0.8333)^{17} = 0.2379\)

So

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0261 + 0.1043 + 0.1982 + 0.2379 = 0.5665\)

0.5665 = 56.65% probability of less than four twos.

Remember that

The product of conjugates is always of the form

a^2-b^2

This is called a difference of squares

In this problem we have

so

Answer:

the slope of A'B' = 3

A'B' passes through point O

Step-by-step explanation:

A dilation with scale factor 3 gives the effect of stretching the line AB three times longer. As dilation does not change the direction of the line, the slope will stay the same. If point O lies on AB and is the center of dilation, then the point O must also lie on A'B'

The required black space in the statement "The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O". is filled by 3 and passes.

Given that,
To Select the correct answer from each drop-down menu. AB is dilated by a scale factor of 3 to form A 1 B1. Point O, which lies on AB, is the center of dilation. The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O.

The scale factor is defined as the ratio of modified change in length to the original length.

Here, is o is the center of the line AB and slope of line AB is 3 than the line dilated with scale factor 3 A1B1 has also a scale factor of 3 because Position of dilation is center 0 thus dilation did not get any orientation.
And the center of dilation is O so line A1B1 passes through O.

Thus, the required black space in the statement "The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O". is filled by 3 and passes.

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Answer:

7/20 = 35%

Step-by-step explanation:

13 out of 20 students passed which means that 20-13=7 failed. So we have 7/20 which is 35% chance because 7/20 * 5(we need to make 100 to convert to percent) = 35/100=35%

A group of 50 students took an exam.The probability of choosing a student who failed from the group is 1/10.If two students are chosen at random from the group, what is the probability for both of them to pass the exam?

Given the probability of failure (event F) = 1/10 = 0.1

Step-by-step:

Accordingly, the probability of success = 1 - 0.1 = 0.9

So, the probability of getting both the sample drawn to be have passed the exam = 2C2*(0.9)^2(0.1)^0 = 1*0.81*1 = 0.81

Alternately

Probability of failure = 0.1 => 50*0.1 = 5 cases of failure

Accordingly number of students who are likely to pass = 50 - 5 = 45

So, the required probability 45C2/50C2 = (45*44/1*2)/50*49/1*2

= 45*44/50*49 =1980/2450 = 0.808 or 0.81

The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).

The number 3.01 is a statistic.

The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.

To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.

Steps to find p-value:

1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours

2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.

3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.

4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).

5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.

6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

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--The given question is incomplete; the complete question is

"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.

1. Is the number 3.01 a parameter or a statistic?

2. Assign an appropriate symbol to the number 3.01.

3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer:

15.4 min

Step-by-step explanation:

rate = liters/min = 2.5 l/min

time = liters/rate = 38.5 l / (2.5 l/min) = 15.4 min

Answer:1

Step-by-step explanation:

terms are separated by + or - signs

Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then  R(t) = 20 + 1.6sin(2πt/5.2).

The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.

In this case, the amplitude is 1.6.

Since the radius changes by a maximum of 1.6 million miles.

The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)

The phase shift is 0, since when t = 0 the radius is increasing.

The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)

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Answer:

The answer is 5 5/6

Step-by-step explanation:

Answer:

b,c

Step-by-step explanation:

b is written  in the written form properly and  is is extended using the right place values

Answer:

Step-by-step explanation:

For this case we can define the random variable of interest as: "The nicotine content in a single cigarette " and for this case we know the following parameters:

\( \mu = 0.4, \sigma = 0.1\)

And for this case we select a sample size of n =100 and we want to find the following probability:

\( P(\bar X <0.38)\)

And for this case we can use the z score formula given by:

\( z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)

And replacing we got:

\( z= \frac{0.38-0.4}{\frac{0.1}{\sqrt{100}}}= -2\)

And we can find the required probability with the normal standard table and we got:

\( P(z<-2) = 0.0228\)

Answer:

(A)

Step-by-step explanation:

Using the formula :

Area = 1/2 [-1(1 - 6) -7(6 - 1) -3(1 - 1)]

Area = 1/2 [5 - 35]

Area = 1/2 × -30 = |-15| = 15 units²

The ranking based on average speed is 1 > 2 > 4 > 3

(a) Based on the given information, we have:

V1 = V2: The objects on paths 1 and 2 have the same average velocity.

V3 < V4: The object on path 4 has a greater average velocity than the object on path 3.

(b) Average speed is simply the distance traveled divided by the time interval. If the objects move at a constant speed along each path, then the paths with the greatest distances will have the greatest average speeds. Therefore, the ranking based on average speed is:

1 > 2 > 4 > 3

Note that this ranking is based only on the distances traveled along each path, and does not take into account the directions of motion or any changes in direction.

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Answer:

Step-by-step explanation:

1. Get mileage per gallon by dividing miles traveled by gallons used

\(\frac{125}{5} = 25 mpg\\\)

2. Divide miles you want to travel by the mileage per gallon you got on the first step

\(\frac{400}{25} = 16 gallons\)

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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Answer:

  f(x) = 4(x -1)^3·(x +2)

Step-by-step explanation:

Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.

  f(x) = a(x -1)^3·(x +2)

  f(0) = a(-1)^3·2 = -2a = -8   ⇒   a = 4

The factored form of the equation is ...

  f(x) = 4(x -1)^3·(x +2)

The x-intercept of the equation y=-13x+234 is (18,0).

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y₁) = m(x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

1) From the give table, we have (18, 0) and (15, 39).

Here, slope(m) = (39-0)/(15-18)

m= -13

2) Substitute m= -13 and (x₁, y₁)=(18, 0) in point slope form, we get

(y-0)= -13(x-18)

y=-13x+234

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (18,0)

y-intercept(s): (0,234)

Therefore, the x-intercept of the equation y=-13x+234 is (18,0).

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The radius of the circle is approximately 7.9 feet.

The arc length formula (if θ is in degrees) is expressed as:

s = 2πr × (θ/360°)

Where r is radius and θ is the central angle subtended by the arc.

Given that:

Arc length s = 9ft

Central angle subtended by the arc = 65°

Radius r = ?

Plug the given values into the above formula.

s = 2πr × (θ/360°)

9ft = 2 × 3.14 × r × (65/360°)

r = 9ft / 1.133888

r = 7.9 ft

Therefore, the radius is 7.9 ft.

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Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer:

A =-6, B = 1, and C =25

Step-by-step explanation:

The equation y -7 = 6(x + 3) can be rearranged to the standard form y = Ax + B by isolating y on one side and collecting all the constant terms on the other side. To do this, we'll first expand the expression 6(x + 3) and then subtract 7 from both sides:

y - 7 = 6(x + 3)

y - 7 = 6x + 18

y = 6x + 25

So, the equation in standard form is:

y = 6x + 25

Now, if we are given that the standard form has A = -6, we can substitute this value into the equation:

y = -6x + B

since B is coefficient of y so

B=1

again

C is constant so C=25

Answer:

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a linear equation}\\\\$Ax+By=C$\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are constants. \\ \phantom{ww}$\bullet$ $A$ must be positive.\\\end{minipage}}\)

The standard form of a linear equation  Ax + By = C  has the x and y terms on the left side and the constant on the right side. The coefficients of the variables must be integers.  

Given equation:

\(y -7 =6(x+3)\)

Expand the brackets:

\(y-7=6x+18\)

Switch sides:

\(6x+18=y-7\)

Subtract y from both sides:

\(6x-y+18=-7\)

Subtract 18 from both sides:

\(6x-y=-25\)

Therefore, the given equation in standard form is:

However, as your question states that A = -6, multiply both sides of the equation by negative 1 to make the coefficient of x negative:

Therefore,

Please note that this is not strictly in standard form, as A should be a positive integer.